+1 on thebigspendur's comments. When it comes to your chin or any trouble area for that matter don't go in hacking and slashing like an amazon explorer. Take your time and plan your moves. Look closely at how the hair grows and most importantly how you shave. Save those areas for last when you can concentrate without having to worry about lather drying or just getting it done.

Shave on off hours when possible so you can take your time and enjoy it. A good SR shave at night should last you through the next day!

If your razor is tugging or pulling, leaving whiskers behind or causing irritation you may need have it honed. I killed two razors when I first started on the strop and had similar issues. A SR will trump a safety razor when used properly every time!